Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 64, Issue 4, Pages 945-958Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2016.2632718
Keywords
Memory output feedback control; nonlinear systems; T-S fuzzy-affine systems; time-varying delay
Categories
Funding
- National Natural Science Foundation of China [61503091, 61374031, 61522306, 61573112, U1509217]
- China Postdoctoral Science Foundation [2016T90270, 2015M570282]
- Postdoctoral Science Foundation of Heilongjiang Province [LBH-Z14056]
- Harbin Special Funds for Technological Innovation Research [2014RFQXJ067]
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This paper studies the problem of delay-dependent fixed-order memory piecewise-affine H-infinity output feedback control for a class of nonlinear systems with time-varying delay via a descriptor system approach. The nonlinear plant is expressed by a continuous-time Takagi-Sugeno (T-S) fuzzy-affine model. Specifically, by utilizing a descriptor model transformation, the original closed-loop system is firstly reformulated into a descriptor system. Based on a new type of Lyapunov-Krasovskii functional (LKF), combined with a Wirtinger-based integral inequality, reciprocally convex inequality and S-procedure, a novel H-infinity performance analysis criterion is then derived for the underlying closed-loop system. Furthermore, by explicitly taking advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the piecewise-affine output feedback controller synthesis is carried out. It is shown that the desired fixed-order memory piecewise-affine controllers with different structures can be established in a unified framework. Finally, simulation studies are presented to show the effectiveness and less conservatism of the proposed approaches.
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